How do you graph $y = sin 3 x$ $y=sin3x$ ?

Question

46878 views around the world

You can reuse this answer
Creative Commons License

Answer 1 · 2018-07-10T05:58:19

$" "$
Please read the explanation.

$" "$
We are given the function:

$y = f (x) = sin (3 x)$ $color(red)(y=f(x)=sin (3x)$

Create a data table of values for $f (x) = sin θ$ $color(blue)(f(x) = Sin theta$

enter image source here

Graph the parent function of $y = f (x) = sin (x)$ $color(blue)(y=f(x)=sin(x)$

enter image source here

Next graph the given function $y = f (x) = sin 3 x$ $color(blue)(y=f(x)=sin 3x)$

enter image source here

The domain of this function is the set of input values for which the function f(x) is real and defined.

Hence, the domain of $f (x)$ $color(red)(f(x)$ is $(- \infty, \infty)$ $color(red)((-oo, oo)$

The range of the function f(x) refers to the set of values of the dependent variable for which the function is defined.

Hence, the range of $f (x)$ $color(red)(f(x)$ is $(- 1 \leq f (x) \leq 1)$ $color(red)((-1<=f(x)<=1)$

Hope it helps.

How do you graph y=sin3x y=sin3x?